# Assessment Schedule – 2014 Calculus: Apply integration methods in solving problems (91579) Evidence Statement

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NCEA Level 3 Calculus (91579) 2014 — page of

Assessment Schedule – 2014

Calculus: Apply integration methods in solving problems (91579)

Evidence Statement
 Q1 Expected Coverage Achievement u Merit r Excellence t (a) Correct integral. (b) Correct solution with correct integral. Accept 1.27 (c) Correct integral. Correct integral and correct solution. Units not required. (d) Correct integral (3rd line). Correct solution with correct Integral. Units not required.

 (e) Correct integral. Correct solution with correct integral.

 NØ N1 N2 A3 A4 M5 M6 E7 E8 No response; no relevant evidence. ONE answer demonstrating limited knowledge of integration techniques ONE correct integration 2u 3u 1r 2r 1t with minor errors ignored 1t

 Q2 Expected Coverage Achievement Merit Excellence (a) Correct integral. (b) Correct solution with correct integrals given. (c) Correct total area with correct integral. OR Correct 3rd line in alternative method. Correct solution with correct total area and correct integral. (d) Correct general solution. Correct solution. (e) Correct area with correct integration. Correct area with correct integration and 1 correct coordinate. Correct area with correct integration and 2 correct coordinates.

 NØ N1 N2 A3 A4 M5 M6 E7 E8 No response; no relevant evidence. ONE answer demonstrating limited knowledge of integration techniques ONE correct integration 2u 3u 1r 2r 1t with minor errors ignored 1t

 Q3 Expected Coverage Achievement Merit Excellence (a) 5 Correct solution. (b) Correct solution. (c)(i) (ii) Correct DE and correct general solution (3rd line). Correct DE, correct general solution and correct answer. Units not required. (d) Correct integration. Correct integration and correct solution. (e) Correct integration. Correct integration and correct values of the constants. Correct integration, correct values of the constants and correct solution.

 NØ N1 N2 A3 A4 M5 M6 E7 E8 No response; no relevant evidence ONE answer demonstrating limited knowledge of integration techniques ONE correct integration 2u 3u 1r 2r 1t with minor errors ignored 1t

## Cut Scores

### Score range

0 – 6

7 – 12

13 – 19

20 – 24

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